4178442240 has 768 divisors, whose sum is σ = 18114969600. Its totient is φ = 891813888.

The previous prime is 4178442217. The next prime is 4178442259. The reversal of 4178442240 is 422448714.

4178442240 is a `hidden beast` number, since 4 + 178 + 442 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4178442195 and 4178442204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32901057 + ... + 32901183.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 2^4178442240 is an apocalyptic number.

4178442240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4178442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

4178442240 is an abundant number, since it is smaller than the sum of its proper divisors (13936527360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4178442240 is a wasteful number, since it uses less digits than its factorization.

4178442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 4178442240 is about 64640.8712812567. The cubic root of 4178442240 is about 1610.6634406808.

The spelling of 4178442240 in words is "four billion, one hundred seventy-eight million, four hundred forty-two thousand, two hundred forty".